Show that n 1000000 O(1 000001 n ) based on the formal definition of big O (see below) Defintion Asymptotic upper bound We say T(n) O(f(n)) if there exist constants c 0 and n0 0 such that T(n) n0 It suffices to present the values of c and n0 and explain how you obtained them A complete proof (i e , that it holds for all n n0) is not required

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Question: Show that n 1000000 = O(1.000001 n ) based on the formal definition of big-O (see below). Defintion [Asymptotic upper bound] We say T(n) =

Show that n^1000000 = O(1.000001ⁿ ) based on the formal definition of big-O (see below).

Defintion [Asymptotic upper bound] We say T(n) = O(f(n)) if there exist constants c > 0 and n0 >= 0 such that T(n) <= c f(n) holds for all n >= n0. It suffices to present the values of c and n0 and explain how you obtained them. A complete proof (i.e., that it holds for all n >= n0) is not required.

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